On the interaction of NLS‐described modulating pulses with different carrier waves

DOI10.1002/mma.884zbMath1149.35392OpenAlexW2043558102MaRDI QIDQ5433217

Hannes Uecker, Guido Schneider, Martina Chirilus-Bruckner

Publication date: 8 January 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.884

zbMATH Keywords

nonlinear opticspulse interactionstransport of information over optical fibers

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Nonlinear dynamics of modulated waves on graphene like quantum graphs ⋮ Detection of standing pulses in periodic media by pulse interaction ⋮ Interaction of modulated pulses in nonlinear oscillator chains ⋮ Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves ⋮ Interaction of modulated pulses in scalar multidimensional nonlinear lattices ⋮ Interaction of oscillatory packets of water waves

Cites Work

• Justification of the nonlinear Schrödinger equation in spatially periodic media
• The validity of modulation equations for extended systems with cubic nonlinearities

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